Question

For the following, indicate what type of analysis (test) you would perform and what alternative hypothesis you are testing. If you think a directional test is appropriate, make sure you incorporate this in the alternative hypothesis. In your answer, please indicate 2 things: the type of analysis AND the alternative hypothesis Important: You may not know how to do the correct analysis. If this is the case, simply write “talk to a statistician” or “I wasn't taught this” as the “Type of analysis” and do not provide an alternative hypothesis. You try to investigate the relationship between fertilizer and plant growth. You take 19 plants, and expose each plant to increasing levels of fertilizer, then measure the weight of each plant for each level of fertilizer.

Answer 1

Solution :

You try to investigate the relationship between fertilizer and plant growth. You take 19 plants, and expose each plant to increasing levels of fertilizer, then measure the weight of each plant for each level of fertilizer.

It is a study of correlation between weight of each plant and the amount of fertilizer.

Hence the null and alternative hypothesis

Null hypothesis - Ho : β = 0

Alternative hypothesis - Ha : β ≠ 0

It is to check if the slope is significant or not.

Significant slope indicate relation between weight and level of fertilizwe.

F-Test is used.

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